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Cohomology of skew-holomorphic Lie algebroids

arXiv:1003.1823 · doi:10.1007/s11232-010-0132-1

Abstract

We introduce the notion of skew-holomorphic Lie algebroid on a complex manifold, and explore some cohomologies theories that one can associate to it. Examples are given in terms of holomorphic Poisson structures of various sorts.

16 pages. v2: Final version to be published in Theor. Math. Phys. (incorporates only very minor changes)